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» Approximating Maximum Edge 2-Coloring in Simple Graphs
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WEA
2007
Springer
116views Algorithms» more  WEA 2007»
14 years 1 months ago
Optimal Edge Deletions for Signed Graph Balancing
The Balanced Subgraph problem (edge deletion variant) asks for a 2-coloring of a graph that minimizes the inconsistencies with given edge labels. It has applications in social netw...
Falk Hüffner, Nadja Betzler, Rolf Niedermeier
SIAMCOMP
2011
12 years 10 months ago
Inapproximability Results for Maximum Edge Biclique, Minimum Linear Arrangement, and Sparsest Cut
We consider the Minimum Linear Arrangement problem and the (Uniform) Sparsest Cut problem. So far, these two notorious NP-hard graph problems have resisted all attempts to prove in...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...
AAIM
2007
Springer
188views Algorithms» more  AAIM 2007»
14 years 1 months ago
Approximation Algorithms for the Graph Orientation Minimizing the Maximum Weighted Outdegree
Given an undirected graph G = (V, E) and a weight function w : E → Z+ , we consider the problem of orienting all edges in E so that the maximum weighted outdegree among all verti...
Yuichi Asahiro, Jesper Jansson, Eiji Miyano, Hirot...
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
13 years 9 months ago
Maximum Flows on Disjoint Paths
We consider the question: What is the maximum flow achievable in a network if the flow must be decomposable into a collection of edgedisjoint paths? Equivalently, we wish to find a...
Guyslain Naves, Nicolas Sonnerat, Adrian Vetta
JCT
2008
76views more  JCT 2008»
13 years 7 months ago
Quadruple systems with independent neighborhoods
A 4-graph is odd if its vertex set can be partitioned into two sets so that every edge intersects both parts in an odd number of points. Let b(n) = max n 3 + (n - ) 3 = 1 2 + o...
Zoltán Füredi, Dhruv Mubayi, Oleg Pikh...